The p-adic local monodromy theorem for fake annuli

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dc.creatorKedlaya, Kiran S.
dc.date2005-07-24
dc.date2006-11-11
dc.date.accessioned2026-07-07T06:42:41Z
dc.date.available2026-07-07T06:42:41Z
dc.descriptionWe establish a generalization of the p-adic local monodromy theorem (of Andre, Mebkhout, and the author) in which differential equations on rigid analytic annuli are replaced by differential equations on so-called fake annuli. The latter correspond loosely to completions of a Laurent polynomial ring with respect to a monomial valuation. The result represents a step towards a higher-dimensional version of the p-adic local monodromy theorem (the "problem of semistable reduction"); it can also be viewed as a slightly novel presentation of the original p-adic local monodromy theorem.
dc.description38 pages; v4: refereed version, some typos fixed
dc.identifierhttps://arxiv.org/abs/math/0507496
dc.identifierhttp://arxiv.org/abs/math/0507496
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102131
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14F30
dc.titleThe p-adic local monodromy theorem for fake annuli
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